2101101122111 has 2 divisors, whose sum is σ = 2101101122112. Its totient is φ = 2101101122110.

The previous prime is 2101101122083. The next prime is 2101101122173. The reversal of 2101101122111 is 1112211011012.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2101101122111 is a prime.

It is a super-2 number, since 2×2101101122111² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2101101122711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050550561055 + 1050550561056.

It is an arithmetic number, because the mean of its divisors is an integer number (1050550561056).

Almost surely, 2^{2101101122111} is an apocalyptic number.

2101101122111 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101101122111 is an equidigital number, since it uses as much as digits as its factorization.

2101101122111 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 2101101122111 its reverse (1112211011012), we get a palindrome (3213312133123).

The spelling of 2101101122111 in words is "two trillion, one hundred one billion, one hundred one million, one hundred twenty-two thousand, one hundred eleven".